Anna is evaluating some rational expressions. Which THREE are correct?
Responses
A 152 − 200 = −48152 − 200 = −48
B −25 + (−25) = 0−25 + (−25) = 0
C 89 − (−17) = 10689 − (−17) = 106
D 134 − (−16) = 118134 − (−16) = 118
E −39 − (−28) = −11
The correct responses are C, D, and E.
C) 89 - (-17) = 89 + 17 = 106
D) 134 - (-16) = 134 + 16 = 150
E) -39 - (-28) = -39 + 28 = -11
What is 4 − 11/4 + 1/2
?
To solve this expression, we need to first simplify any fractions:
4 - 11/4 + 1/2
To add or subtract fractions, we need a common denominator. The common denominator of 4 and 2 is 4. So we need to rewrite 1/2 with a denominator of 4:
4 - 11/4 + 1/2 = 4 - 11/4 + 2/4
Now we can add or subtract the numerators:
4 - 11/4 + 2/4 = (4 + 2 - 11)/4
Continuing to simplify the expression:
(4 + 2 - 11)/4 = -5/4
So, 4 - 11/4 + 1/2 simplifies to -5/4.
What is 4 − 1 1/4+ 1/2
?
To solve this expression, we need to first simplify the mixed number:
4 - 1 1/4 + 1/2
To subtract a mixed number, we need to rewrite it as an improper fraction. Converting 1 1/4 to an improper fraction, we have:
1 1/4 = 1 + 1/4 = 4/4 + 1/4 = 5/4
Now we can add or subtract the fractions:
4 - 5/4 + 1/2
To add or subtract fractions, we need a common denominator. The common denominator of 4 and 2 is 4. So we need to rewrite 5/4 and 1/2 with a denominator of 4:
4 - 5/4 + 1/2 = 4 - 5/4 + 2/4
Now we can add or subtract the numerators:
4 - 5/4 + 2/4 = (4 - 5 + 2)/4
Continuing to simplify the expression:
(4 - 5 + 2)/4 = 1/4
So, 4 - 1 1/4 + 1/2 simplifies to 1/4.